ikr.simlib.distributions.continuous

Class UniformDistribution

java.lang.Object

ikr.simlib.distributions.Distribution

ikr.simlib.distributions.continuous.ContinuousDistribution

ikr.simlib.distributions.continuous.UniformDistribution

All Implemented Interfaces:

ReflectionConstructable, ReflectionConstructable3<SimNode,Parameters,RandomNumberGenerator>

public class UniformDistribution
extends ContinuousDistribution

Uniform Distribution

Meaning:	All (continuous) values \(t\) in the interval \(b_l < t < b_u\) appear with the same probability
Parameters:	lower limit \(b_l\) upper limit \(b_u > b_l \)
PDF:	\(P(T=t) = f(t) = \begin{cases} \frac{1}{b_u -b_l} &\mbox{for } b_l \le t \le b_u \\ 0 &\mbox{else } \end{cases}\)
DF:	\(P(T \le t) = F(t) = \begin{cases} 0 &\mbox{for } t < b_l \\ \frac{t-b_l}{b_u-b_l} &\mbox{for } b_l \le t < b_u \\ 1 &\mbox{for } t \ge b_l \end{cases} \)
Expected value:	\(E[T]= \frac{b_l + b_u}{2}\)
Variance:	\(VAR[T]= \frac{(b_u - b_l)^2}{12}\)
Coefficient of variation:	\(c_T= \frac{1}{\sqrt{3}} \cdot \frac{b_u-b_l}{b_u+b_l}\)
LST:	\(\phi(s) = \frac{1}{b_u-b_l} \cdot \frac{exp(-b_l s) - exp(-b_u s)}{s}\)
Parser example:	[...].Distribution = Uniform [...].Distribution.LowerBound = 1.5 [...].Distribution.UpperBound = 13.5

Field Summary

Fields

Modifier and Type	Field and Description
double	interval
double	lowerBound

Fields inherited from class ikr.simlib.distributions.Distribution

rng

Fields inherited from interface ikr.simlib.parameters.reflection.ReflectionConstructable

CREATE_INSTANCE_METHOD_NAME

Constructor Summary

Constructors

Constructor and Description
UniformDistribution(double lowerBound, double upperBound)
UniformDistribution(double lowerBound, double upperBound, RandomNumberGenerator rng)

Method Summary

Methods

Modifier and Type	Method and Description
static UniformDistribution	createInstance(SimNode ownNode, Parameters pars, RandomNumberGenerator rng) as required by ReflectionConstructable
double	next() Create random numbers

Methods inherited from class ikr.simlib.distributions.Distribution

getDefaultRNG, getRandomNumberGenerator, reset

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

lowerBound

public final double lowerBound

interval

public final double interval

Constructor Detail

UniformDistribution

public UniformDistribution(double lowerBound,
                   double upperBound,
                   RandomNumberGenerator rng)

UniformDistribution

public UniformDistribution(double lowerBound,
                   double upperBound)

Method Detail

createInstance

public static UniformDistribution createInstance(SimNode ownNode,
                                 Parameters pars,
                                 RandomNumberGenerator rng)

as required by ReflectionConstructable

next

public double next()

Description copied from class: ContinuousDistribution

Create random numbers

Specified by:

next in class ContinuousDistribution